Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Noetherian enveloping algebras of simple graded Lie algebras
Nicolás Andruskiewitsch, Olivier Mathieu
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Keywords: enveloping algebras, Noetherian algebras
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2025 Volume 77 Issue 4 Pages 1233-1247

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Abstract

It is shown that if the universal enveloping algebra of a simple ℤ𝑛-graded Lie algebra is Noetherian, then the Lie algebra is finite-dimensional.

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